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The white percentages show the number of people between standard deviations. For example, 34.1% of people are between 0 and 1 standard deviation (the weird \[\sigma\] symbol stands for standard deviation)

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The red percentages are the ones that we care about in this problem. They show the total percentages. So, for example, at +1 standard deviation 84% of people are to the left of that point.

jtvatsim

2 years ago

From the question, we are told the following:
mean = 12.89
standard deviation = 1.95
Marcus's score = 13.7
People who get certificates score better than 98% of people.

jtvatsim

2 years ago

The reason this problem seems hard is because we can't tell if 13.7 is better than 98% of people. If we knew that 13.7 was better than 98%, then Marcus should get a certificate. However, if 13.7 is worse than 98%, then Marcus should not get a certificate.
We need a way to turn the 98% into a score for us to compare.

jtvatsim

2 years ago

Let me stop for a moment and give you a chance to ask any questions you have. You are probably still a little confused on the diagram I posted, but I'll explain how that comes in, in just a moment.
The biggest thing is are you ok with the fact that we need to figure out what 98% actually means?

anonymous

2 years ago

yes, i probably could

sohailiftikhar

2 years ago

waite i'm looking the work of jv

anonymous

2 years ago

yes, i probably could

sohailiftikhar

2 years ago

so here we are given the situation that certificate will only give to the top 2% of those people who gave test .

sohailiftikhar

2 years ago

so if marcus didnt receive a certificate that's means he is not in that top 2% people even he score well ..understand ?

sohailiftikhar

2 years ago

we have to give a certificate only 2% people so we will take the top 2% means with higher score

sohailiftikhar

2 years ago

no he didn't receive the certificate because he was not in the toppers list

sohailiftikhar

2 years ago

this is given in statement . take a look that what they asked

sohailiftikhar

2 years ago

yes

sohailiftikhar

2 years ago

that's what i'm saying that he can't get enough score to get in 2% of ppl whos score is higher means toppers

sohailiftikhar

2 years ago

ok here is a example
there are 20 seats in the company and they said that only 20 ppl can get job but for the minimum job score is 33 out of 100

sohailiftikhar

2 years ago

so one candidate scored 50 but he didn't get job ..why ?

sohailiftikhar

2 years ago

yes

sohailiftikhar

2 years ago

this what happened here ..they said they only give 2% of certificates and when they got filled marcus didn't get certificate because didn't get high score to be in that 2% of ppls

sohailiftikhar

2 years ago

consider these 2% are those whos score is 20,21and so on so this is higher than marcus .. get it now ?

sohailiftikhar

2 years ago

yes he didn't get the high score to beat the others

sohailiftikhar

2 years ago

so ? i'm going now

sohailiftikhar

2 years ago

it's simple you can say that there 2% of ppl who scored higher than marcus and we only have to give certificate of 2% ppl so he can't get certificate..